Least Common Multiple of 202/598, 6948/5994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 202/598, 6948/5994 quickly i.e. 350874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 202/598, 6948/5994 is 350874.

LCM(202/598, 6948/5994) = 350874

LCM of 202/598, 6948/5994

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 202/598,6948/5994

Given numbers are 202/598,6948/5994

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 202,6948

Least Common Multiple of Numerators i.e. LCM of 202,6948 is 701748.

GCF of Denominators means GCF of 598,5994 as per the given fractions.

GCF of 598,5994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 202,6948

LCM of Fractions 202/598,6948/5994 is 350874

2 202, 6948
101, 3474

∴ So the LCM of the given numbers is 2 x 101 x 3474 = 701748

Least Common Multiple of 202,6948 with GCF Formula

Least Common Multiple of 202,6948 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 202,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,6948) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(202,6948) x common factors =2 x 1 = 2

LCM(202,6948) = ( 202 × 6948 ) / 2

LCM(202,6948) = 1403496 / 2

LCM(202,6948) = 701748


Lets's calculate GCF of 598,5994

2 598, 5994
299, 2997

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 701748/2

Therefore the LCM of Fractions 202/598,6948/5994 is 350874

Greatest Common Factor of 598,5994 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,5994 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994

Greatest Common Factor

We found the factors 598,5994 . The biggest common factor number is the GCF number.
So the greatest common factor 598,5994 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 202/598, 6948/5994

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 202/598, 6948/5994?

Answer: LCM of Numerators as per given numbers 202/598, 6948/5994 is

LCM of Numerators i.e. for 202,6948 is 701748

GCF of denominators i.e. for 598,5994 is 2.

Thus, LCM of Fractions is 350874.Finally, LCM of Fractions for 202/598, 6948/5994 is 350874.